منابع مشابه
Waves in Partially Saturated Porous Media
E orts to extend the theory of poroelasticity to semilinear and nonlinear elastic response, to partially saturated pores, to inhomogeneous solid frame materials, and to viscous losses due to localized ow e ects are summarized. The prospects for a comprehensive theory of wave propagation in partially saturated porous media and the reasons for needing such a theory are also discussed. The main re...
متن کاملInfiltration in Porous Media with Dynamic Capillary Pressure: Travelling Waves
We consider a model for non-static groundwater flow where the saturation-pressure relation is extended by a dynamic term. This approach together with a convective term due to gravity, results in a pseudo-parabolic Burgers type equation. We give a rigorous study of global travelling wave solutions, with emphasis on the role played by the dynamic term and the appearance of fronts.
متن کاملModelling and simulation of waves in three-layer porous media
The propagation of gravity waves in an emerged three-layer porous medium is considered in this paper. Based on the assumption that the flow can be described by Darcy’s Law, an asymptotic theory is developed for small-amplitude long waves. This leads to a weakly nonlinear Boussinesqtype diffusion equation for the wave height, with coefficients dependent on the conductivities and depths of each l...
متن کاملGreen functions of mass diffusion waves in porous media
A formulism of frequency-domainmass diffusion-waves in porousmedia is derived bymeans of Fourier transform. In analogy to conventional thermal-wave fields, internally consistent Green functions inCartesian coordinates for linearmass diffusion-waves is also presented for infinite, semiinfinite andfinite-size domains in three-dimensional spaces. TheGreen functions are utilized to analyze the resp...
متن کاملStability of Solitary Waves in a Deformable Porous Media
Coherent structures, such as solitary waves, appear in many physical problems, including fluid mechanics, optics, quantum physics, and plasma physics. A less studied setting is found in geophysics, where highly viscous fluids couple to evolving material parameters to model partially molten rock, magma, in the Earth’s interior. Solitary waves are also found here, but the equations lack useful ma...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transport in Porous Media
سال: 2012
ISSN: 0169-3913,1573-1634
DOI: 10.1007/s11242-012-9998-8